Universe expansion would have accelerated at least two times, a first time during the inflation epoch[1]} and a second time during the present epoch[2]}, [3]}. There are various methods to build a cosmological model with such an expansion history. Hence, in [4]}, a modified unimodular gravity version of General Relativity is used that is equivalent to General Relativity at the classical level but also provides a quantum description. In [5]}, a tachyon condensation on an unstable three-brane gives rise to a tachyon inflation followed by a Chaplygin gas dark matter and dark energy universe. In [6]}, a Chaplygin gas in a spherically symmetric inhomogeneous model is considered for which, at early times, Universe behaves as an Einstein-de Sitter solution generalised to an inhomogeneous spacetime and, at late time, as a \(\Lambda CDM\)  model. In [7]}, the whole Universe history is described by a vacuum decay.
